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Finding the Fourth Proportional to 137,590.76, 206,406.68 and 48,836.84

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Solution

The fourth proportional to 137,590.76, 206,406.68 and 48,836.84 is: 73,262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,590.76 : 206,406.68 = 48,836.84 : x
  2. Step 2: Convert to fraction form
    137,590.76/206,406.68 = 48,836.84/x
  3. Step 3: Cross multiply
    137,590.76x = 206,406.68 × 48,836.84
  4. Step 4: Simplify right side
    137,590.76x = 10,080,250,006.09
  5. Step 5: Solve for x
    x = 10,080,250,006.09/137,590.76
  6. Step 6: Final answer
    x = 73,262.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.